Question

A rectangle has a length 2 ft less than three times its width. What is the area of the rectangle when the width is 2 ft?

Answer 1

read the sentence that has a question mark at the end

Answer 2

@nincompoop can you help me?

Answer 3

exactly what I am doing now
read the the sentence that has a question mark at the end

Answer 4

omg its 2ft isn't it

Answer 5

?

Answer 6

sentence, meg

Answer 7

what about it?

Answer 8

what was the question it was asking?

Answer 9

"what is the area of the rectangle when the width is 2ft?"

Answer 10

What is the area of the rectangle when the width is 2 ft?

AREA OF RECTANGLE

Answer 11

do you know how to solve for an area of a rectangle?

Answer 12

yes its A=L x W correct?

Answer 13

good

Answer 14

what is the value of the width?

Answer 15

4ft?

Answer 16

where do you see 4?
What is the area of the rectangle when the width is 2 ft?
What is the area of the rectangle when the width is 2 ft?
What is the area of the rectangle when the width is 2 ft?

Answer 17

so what is the value of the width?

Answer 18

8ft?

Answer 19

OMG
the value of the width is in the question
What is the area of the rectangle when the \(\huge width~is 2~ft?\)

Answer 20

so what is the value of the width?

Answer 21

2

Answer 22

haha good!

Answer 23

but 2 isn't one of the answers

Answer 24

now rewrite the area formula like you did before but now replace W with 2

Answer 25

OH

Answer 26

okay A=L x 2

Answer 27

good!

Answer 28

what do we have to figure out next?

Answer 29

the length

Answer 30

Slow and steady

Answer 31

good, and what is our clue for its value?

Answer 32

;)

Answer 33

A rectangle has a length 2 ft less than three times its width.

Answer 34

sorry its 4 am here my brain isn't quite awake and our clue is 2ft because it it says

Answer 35

2 ft less than 3 times its width
JUST BEAR WITH ME :) we will be done soon and you would be glad you stayed the course

Answer 36

2ft-3ft?

Answer 37

it says 2 less than 3 times its width
we know that width is 2
3 times its with is written as \(\color{red}{3 \times 2} \) am I correct or am I correct?

Answer 38

correct

Answer 39

and it says 2 less than (2 x 3)

Answer 40

so it means it is 2 units shorter than the 6

Answer 41

what is 2 subtracted out of 6?

Answer 42

where did you get 6 from?

Answer 43

4ft

Answer 44

3 times its width <-----------

Answer 45

what is the value of the width again?

Answer 46

6ft

Answer 47

no! the value of width is 2

Answer 48

remember?

Answer 49

What is the area of the rectangle when the width is 2 ft? remember this part?

Answer 50

oh yes!!! good god I'm not a smart person

Answer 51

yes yes

Answer 52

you are not smart, but you can start with paying attention to the details you are given and work with those

Answer 53

so 3 times 2 is?

Answer 54

6ft

Answer 55

great!

Answer 56

but the problem says A rectangle has a length 2 ft less than three times its width
so what is 2 ft less than 6 ft?

Answer 57

4ft

Answer 58

you're basically subtracting 2ft out of 6 ft

Answer 59

GREAT! we are making progress

Answer 60

good god I'm sorry for wasting your time :((

Answer 61

rewrite the formula of rectangle area again but use the numerical value and their units

Answer 62

are you doing it?

Answer 63

so A= L x W
6= 2-3?

Answer 64

no thats not right,

Answer 65

yes, that is not right

Answer 66

we are looking for A
we only found the values of L and W so far

Answer 67

A=L x W
A= 2ft x 3ft

Answer 68

GREAT!
AWESOME!

Answer 69

YES!

Answer 70

pay close attention okay?
let us replace ft into a single letter, say the letter \(\huge a \)
deal?

Answer 71

ok

Answer 72

by doing that, we have
\(\sf A = 4a \times 2a \)

Answer 73

can you try to multiply those for me?

Answer 74

alright..

is 8a

Answer 75

you got the coefficient right, but not the variable \(\large a \)

Answer 76

so it is clearer that can be written also as \(\color{red}{4\times 2 \times a \times a} \)

Answer 77

what is a x a ?

Answer 78

OH OF COURSE so 8^2?

Answer 79

do not forget the a

Answer 80

8^2a?

Answer 81

laughing hysterically inside my head the squared is on a not on 8

Answer 82

try again

Answer 83

\(\color{red}{4\times 2 \times a \times a}\)

Answer 84

okay.. 8a^2?

Answer 85

YESSSSSSS! omg you did it!

Answer 86

remember that we replaced ft into a?

Answer 87

yes

Answer 88

here's the reason why I asked you to do that
I want to make sure that you follow the same rules for units (ft, meters, ounce, etc) as when you're multiplying variables

Answer 89

makes sense :)

Answer 90

now rewrite your \(8a^2 \) into proper unit

Answer 91

so the answer is 8ft^2?

Answer 92

YES!

Answer 93

YAAAAS

Answer 94

now, tell me if you regret staying or you're glad you stayed the course?

Answer 95

i regret absolutely nothing I'm glad i stayed

Answer 96

thank you for being awesome and have a nice rest

Answer 97

thanks for spending time on a person like me nincompoop :)

Answer 98

@nincompoop I applaud you tremendously. Outstanding work